Solve 1/f=1/a+1/b for f
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the numerical equation:
1/f = 1/a + 1/b
Solve for f.
Solution:
In order to solve for f, we first need to add 1/a + 1/b, this can be done by having a denominator of ab, and a numberator of a + b.
1/a + 1/b = (b + a)/ab
1/f = (b + a)/ab
multiply f on both sides of the equation to cancel out 1/f.
a = f (b + a) /ab
Multiply the reciprocal of (b + a)/ab which is ab/(b + a) to cancel out, and find the value of x.
ab/(b + a) = f( b + a)/ab (ab/(b + a))
f = ab/(b + a)
Final answer:
f = ab/(b + a)